Question

Assertion: The 7th term of the progression `1/4, 1/2`, 1, ... is 32.

Reason: n^th term of G.P. = ar^{n − 1}.

Options

• Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

• Assertion (A) is true, but Reason (R) is false.

• Assertion (A) is false, but Reason (R) is true.

Answer 1

Assertion (A) is false, but Reason (R) is true.

Explanation:

a = `1/4`

r = `(1/2)/(1/4)`

= 2

n = 7

`a_7 = 1/4 xx (2)^(7 - 1)`

`a_7 = 1/4 xx 2^6`

`a_7 = 1/4 xx 64`

= 16